Abstract
We study when some graded rings are Jacobson rings. In particular we obtain that rings strongly graded either by a polycyclic-by-finite group, or by an abelian group of finite torsion free rank are Jacobson rings in case the identity component is a left Noetherian Jacobson ring. For monoid rings R[S] of abelian monoids of finite rank the same result holds without R being left Noetherian.
The author is supported in part by NSERC-grant OGP0036631.
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Jespers, E. (1990). Semigroup Graded Rings and Jacobson Rings. In: Almeida, J., Bordalo, G., Dwinger, P. (eds) Lattices, Semigroups, and Universal Algebra. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-2608-1_12
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DOI: https://doi.org/10.1007/978-1-4899-2608-1_12
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